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NikAS [45]
3 years ago
15

Consider the given data set consisting of the number of texts sent by students during lunch.

Mathematics
2 answers:
GrogVix [38]3 years ago
7 0

Consider the given data set consisting of the number of texts sent by students during lunch.

0, 2, 3, 5, 5, 7, 8, 8, 8, 8, 9,9.9,9,10,10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12. 12. 12. 12, 12

The mean for this data set is 8.9 and the median is 10.

One student texted 48 times during lunch and we added her data point to the original data

set so that it now looks like this:

0, 2, 3, 5, 5, 7, 8, 8, 8, 8, 9,9,9,9,10,10, 10, 10, 10, 11, 11, 1111, 11, 12, 12. 12, 12, 12, 12, 48

What measure of center will be most affected by the new data point?

The mean will be most affected.

STatiana [176]3 years ago
7 0

Answer:

The mean.

Step-by-step explanation:

48 messages is a very high compared to the rest of the data so it will effect the mean. The median and the mode will be unchanged and the IQR will only change slightly. The mean will change form 8.9 to 10.2.

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Step-by-step explanation:

Case 1 : |x| > a, => x > a or x < -a

Case 2 : |x| < a, => -a < x < a

Since this question follows Case 1, we will have an "or" inequality.

3 0
3 years ago
Point G is the centroid of triangle ABC. AG = (5x+4) units and GF= (3x-1) units. What is A F?
Vika [28.1K]
<span>Because G is the centroid of the triangle, therefore AG = 2GF
That is, 5x + 4 = 2(3x - 1)
5x + 4 = 6x - 2
4 + 2 = 6x - 5x
6 = x
Therefore AG = 5*6 + 4 = 34
GF = 3*6 - 1 = 17
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Answer: 51</span>
6 0
3 years ago
Read 2 more answers
Find the measure of each angle.
Galina-37 [17]

<u>Given</u>:

Given that the isosceles trapezoid JKLM.

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We need to determine the measure of each angle.

<u>Measure of ∠L:</u>

By the property of isosceles trapezoid, we have;

\angle K+\angle L=180^{\circ}

118^{\circ}+\angle L=180^{\circ}

           \angle L=62^{\circ}

Thus, the measure of ∠L is 62°

<u>Measure of ∠M:</u>

By the property of isosceles trapezoid, we have;

\angle L \cong \angle M

Substituting the value, we get;

62^{\circ}=\angle M

Thus, the measure of ∠M is 62°

<u>Measure of ∠J:</u>

By the property of isosceles trapezoid, we have;

\angle J \cong \angle K

Substituting the value, we get;

\angle J =118^{\circ}

Thus, the measure of ∠J is 118°

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4 0
3 years ago
Please help!
kirill115 [55]

Answer:

73 and 113 / 144 ft^2

Step-by-step explanation:

Lets convert everything into pure feet.

10ft 5in = 10 and 5/12 feet = 125/12 feet

14ft 2in = 14 and 1/6 feet = 85/6

Now lets calculate area:

1/2 * 125/12 * 85/6 = 125*85 / 144 = 73 and 113/144

3 0
3 years ago
The times for 5 runners in a​ 30-meter dash were 6.44​ seconds, 6.2​ seconds, 6.04​ seconds, 7.14​ seconds, and 6.48 seconds. Wr
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Answer:

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Step-by-step explanation:

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